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arXiv · 2604.21990

A New Spin on Dissipative Tides: First-Post-Newtonian Effects in Compact Binary Inspirals

Anand Balivada·Abhishek Hegade K. R.·Nicolás Yunes
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Abstract

Tidal dissipation in spinning compact binaries imprints characteristic corrections on the late-inspiral gravitational-wave signal. We develop a next-to-leading order post-Newtonian description of dissipative, electric-quadrupolar tides in spinning compact binaries, deriving the center-of-mass equations of motion, a generalized energy-balance law, and the corresponding Fourier-phase correction for quasi-circular orbits with spins aligned or anti-aligned with the orbital angular momentum. Using the most general, low-frequency, linear tidal response compatible with rotational symmetry, we show that spin-induced tidal dissipation enters the gravitational-wave phase at 2.5 post-Newtonian order and carries a logarithmic frequency dependence, so it is not degenerate with the coalescence phase. For binary black holes, our dissipative flux reproduces horizon absorption in the extreme-mass-ratio limit. These results provide new waveform ingredients for precision modeling of spinning compact binaries in the high-signal-to-noise era.

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Anand Balivada, Abhishek Hegade K. R., Nicolás Yunes. 2026-04-23. A New Spin on Dissipative Tides: First-Post-Newtonian Effects in Compact Binary Inspirals. https://arxiv.org/abs/2604.21990

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